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Finding the Fourth Proportional to 3,208.32, 4,812.48 and 1,259.46

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Solution

The fourth proportional to 3,208.32, 4,812.48 and 1,259.46 is: 1,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.32 : 4,812.48 = 1,259.46 : x
  2. Step 2: Convert to fraction form
    3,208.32/4,812.48 = 1,259.46/x
  3. Step 3: Cross multiply
    3,208.32x = 4,812.48 × 1,259.46
  4. Step 4: Simplify right side
    3,208.32x = 6,061,126.06
  5. Step 5: Solve for x
    x = 6,061,126.06/3,208.32
  6. Step 6: Final answer
    x = 1,889.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.